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Finding the Fourth Proportional to 322,084.82, 444,518.05 and 194,761.32

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Solution

The fourth proportional to 322,084.82, 444,518.05 and 194,761.32 is: 268,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,084.82 : 444,518.05 = 194,761.32 : x
  2. Step 2: Convert to fraction form
    322,084.82/444,518.05 = 194,761.32/x
  3. Step 3: Cross multiply
    322,084.82x = 444,518.05 × 194,761.32
  4. Step 4: Simplify right side
    322,084.82x = 86,574,922,181.83
  5. Step 5: Solve for x
    x = 86,574,922,181.83/322,084.82
  6. Step 6: Final answer
    x = 268,795.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.